Answered

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1. Which of these functions has a vertical asymptote at x = -4? There may be morethan one answer, so select all that apply.

1 Which Of These Functions Has A Vertical Asymptote At X 4 There May Be Morethan One Answer So Select All That Apply class=

Sagot :

A rational function has a vertical asymptote when x becomes a value that makes the denominator equal to 0,

for f(x),

[tex]\begin{gathered} x+4=0 \\ x=-4 \end{gathered}[/tex]

for g(x),

[tex]x=0[/tex]

for h(x),

[tex]\begin{gathered} 2x^2+11x+12=0 \\ using\text{ the quadratic} \\ x=\frac{-11\pm\sqrt{11^2-4\times2\times12}}{2(2)} \\ x_1=-\frac{3}{2};x_2=-4 \end{gathered}[/tex]

Answer:

The functions f(x) and h(x) have vertical assymptotes at x=-4

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